Volume 29, Issue 4
Some Inequalities Concerning the Polar Derivative of a Polynomial-II

Anal. Theory Appl., 29 (2013), pp. 384-389

Published online: 2013-11

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• Abstract

In this paper, we consider the class ofpolynomials $P(z)=a_{n}z^{n}+\sum_{\nu=\mu}^{n}a_{n-\nu}z^{n-\nu}$, $1\leq \mu\leq n$,having all zeros in $|z|\leq k$, $k\leq 1$ and thereby present an alternative proof,independent of Laguerre's theorem, of an inequalityconcerning the polar derivative of a polynomial.

• Keywords

Polar derivative of a polynomial

30A10 30C10 30C15

@Article{ATA-29-384, author = {A. Mir and B. Dar}, title = {Some Inequalities Concerning the Polar Derivative of a Polynomial-II}, journal = {Analysis in Theory and Applications}, year = {2013}, volume = {29}, number = {4}, pages = {384--389}, abstract = {In this paper, we consider the class ofpolynomials $P(z)=a_{n}z^{n}+\sum_{\nu=\mu}^{n}a_{n-\nu}z^{n-\nu}$, $1\leq \mu\leq n$,having all zeros in $|z|\leq k$, $k\leq 1$ and thereby present an alternative proof,independent of Laguerre's theorem, of an inequalityconcerning the polar derivative of a polynomial.}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2013.v29.n4.7}, url = {http://global-sci.org/intro/article_detail/ata/4532.html} }